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Question

Question 4
Find the value of a, if the distance between the points A(-3,-14) and B(a, -5) is 9 units.


Solution

According to the question,
Distance between A(-3,-14) and B(a,-5), AB = 9
[distance between the points(x1,y1) and (x2,y2),d=(x2x1)2+(y2y1)2]
(a+3)2+(5+14)2=9(a+3)2+(9)2=9On squaring both the sides, we get(a+3)2+81=81(a+3)2=0a=3Hence, the required value of a is -3.

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